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Finding the Fourth Proportional to 30,922, 46,390.68 and 9,034

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Solution

The fourth proportional to 30,922, 46,390.68 and 9,034 is: 13,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922 : 46,390.68 = 9,034 : x
  2. Step 2: Convert to fraction form
    30,922/46,390.68 = 9,034/x
  3. Step 3: Cross multiply
    30,922x = 46,390.68 × 9,034
  4. Step 4: Simplify right side
    30,922x = 419,093,403.12
  5. Step 5: Solve for x
    x = 419,093,403.12/30,922
  6. Step 6: Final answer
    x = 13,553.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.